What is the resistance of a component that develops 0.75W if 30mA flows through it

To find the resistance, we can use Ohm's law which states that Voltage (V) = Current (I) * Resistance (R). But we don't have the voltage directly, we have the power (P). We can use the power formula P = V * I to find the voltage first.

Step 1: Convert the current from milliamperes (mA) to amperes (A). 1A = 1000mA, so 30mA = 0.03A.

Step 2: Use the power formula to find the voltage. We know that P = 0.75W and I = 0.03A. So, V = P / I = 0.75W / 0.03A = 25V.

Step 3: Now that we have the voltage, we can use Ohm's law to find the resistance. R = V / I = 25V / 0.03A = approximately 833.33 ohms.

So, the resistance of the component is approximately 833.33 ohms.